The article cited claims the test administered in New Haven was "race neutral". The core of the argument is that the test was not race neutral but was in fact discriminatory. An attempt was made to "restart the game" by erasing the results of the test, but that was not satisfactory to the firefighters who scored highest on the test.
No one is demeaning firefighters here, but if the test was written to favor white applicants, then it should be changed. History is full of examples of seemingly innocuous regulations which were designed to discriminate against a group. If these firefighters are indeed the most qualified for advancement, they should have no trouble passing another test. To argue this case to the Supreme Court seems petty and small-minded.